2 papers
math.CO2025
Eventually constant maps for two sets and nilpotent pairs
Weixi Chen, Mee Seong Im, Catherine Lillja +1
We give a bijective correspondence between the number of nilpotent matrices over a Boolean semiring and the number of directed acyclic graphs on ordered vertices. We then enumerate…
math.RT2025
Pairs of eventually constant maps and nilpotent pairs
Weixi Chen, Mee Seong Im, Mikhail Khovanov +2
Tom Leinster gave a bijective correspondence between the set of operators on a finite-dimensional vector space and the set of pairs consisting of a nilpotent operator and a vec…